Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7923/77, 4318/539 quickly i.e. 34211514/77 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7923/77, 4318/539 is 34211514/77.
LCM(7923/77, 4318/539) = 34211514/77
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7923/77,4318/539
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 7923,4318
Least Common Multiple of Numerators i.e. LCM of 7923,4318 is 34211514.
GCF of Denominators means GCF of 77,539 as per the given fractions.
GCF of 77,539 is 77 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7923,4318
Given numbers has no common factors except 1. So, there LCM is their product i.e 34211514
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 7923,4318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7923,4318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7923,4318) x common factors =1 x 1 = 1
LCM(7923,4318) = ( 7923 × 4318 ) / 1
LCM(7923,4318) = 34211514 / 1
LCM(7923,4318) = 34211514
Lets's calculate GCF of 77,539
7 | 77, 539 |
11 | 11, 77 |
1, 7 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34211514/77
Therefore the LCM of Fractions 7923/77,4318/539 is 34211514/77
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Greatest Common Factor
We found the factors 77,539 . The biggest common factor number is the GCF number.
So the greatest common factor 77,539 is 77.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 7923/77, 4318/539?
Answer: LCM of Numerators as per given numbers 7923/77, 4318/539 is
LCM of Numerators i.e. for 7923,4318 is 34211514
GCF of denominators i.e. for 77,539 is 77.
Thus, LCM of Fractions is 34211514/77.Finally, LCM of Fractions for 7923/77, 4318/539 is 34211514/77.